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Finding the Fourth Proportional to 4,690.20, 7,033.62 and 1,402.20

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Solution

The fourth proportional to 4,690.20, 7,033.62 and 1,402.20 is: 2,102.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690.20 : 7,033.62 = 1,402.20 : x
  2. Step 2: Convert to fraction form
    4,690.20/7,033.62 = 1,402.20/x
  3. Step 3: Cross multiply
    4,690.20x = 7,033.62 × 1,402.20
  4. Step 4: Simplify right side
    4,690.20x = 9,862,541.96
  5. Step 5: Solve for x
    x = 9,862,541.96/4,690.20
  6. Step 6: Final answer
    x = 2,102.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.